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K730

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X(6), X(15), X(16), X(111), X(1383), X(2930)

fixed points of the involution f in page K024

K730 is a circular cubic passing through the four fixed points of the involution f as in page K024. Recall that these points lie on the Stammler hyperbola and that the diagonal triangle of these four points is the CircumTangential triangle.

The singular focus of K730 is X(14682).

K730 is a member of the pencil generated by K018 and the union of the circumcircle and the Brocard axis. See also K640.

K729 and K730 generate a pencil of K0 circum-cubics passing through X(6), X(1383) and the four fixed points above. It contains several other interesting cubics but no simple pK or nK0. Two of them contain {X4,X6,X195,X1383,X2963} and {X6,X98,X182,X187,X694,X1383}.